Phenomenology, logic, and the philosophy of mathematics [E-Book] / Richard Tieszen.
Tieszen, Richard L., (author)
Cambridge : Cambridge University Press, 2005
1 online resource (x, 357 pages)
englisch
9780511498589
9780521837828
9780521119986
Full Text
Table of Contents:
  • Introduction : themes and issues
  • Pt. I.
  • Reason, science, and mathematics
  • 1.
  • Science as a triumph of the human spirit and science in crisis : Husserl and the fortunes of reason
  • 2.
  • Mathematics and transcendental phenomenology
  • 3.
  • Free variation and the intuition of geometric essences : some reflections on phenomenology and modern geometry
  • Pt. II.
  • Kurt Godel, phenomenology, and the philosophy of mathematics
  • 4.
  • Kurt Godel and phenomenology
  • 5.
  • Godel's philosophical remarks on logic and mathematics
  • 6.
  • Godel's path from the incompleteness theorems (1931) to phenomenology (1961)
  • 7.
  • Godel and the intuition of concepts
  • 8.
  • Godel and Quine on meaning and mathematics
  • 9.
  • Maddy on realism in mathematics
  • 10.
  • Penrose on minds and machines
  • Pt. III.
  • Constructivism, fulfillable intentions, and origins
  • 11.
  • Intuitionism, meaning theory, and cognition
  • 12.
  • philosophical background of Weyl's mathematical constructivism
  • 13.
  • Proofs and fulfillable mathematical intentions
  • 14.
  • Logicism, impredicativity, formalism : some remarks on Poincare and Husserl
  • 15.
  • philosophy of arithmetic : Frege and Husserl.